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²Ä01ÃD ªü°ò¦Ì¼w¤À¤û°ÝÃDArchimedes' Problema Bovinum
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¦b¥À¤û¤¤¡A¥Õ¤û¼Æ¬O¥þÅé¶Â¤û¼Æªº1/3+1/4¡F¶Â¤û¼Æ¬O¥þÅéªá¤û¼Æ1/4+1/5¡Fªá¤û¼Æ¬O¥þÅé´Ä¤û¼Æªº1/5+1/6¡F´Ä¤û¼Æ¬O¥þÅé¥Õ¤û¼Æªº1/6+1/7¡C
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²Ä02ÃD ¼w•±ö»ôùبȧJªºªk½X°ÝÃDThe Weight Problem of Bachet de Meziriac
¤@¦ì°Ó¤H¦³¤@Ó40½Sªº¯|½X¡A¥Ñ©ó¶^¸¨¦b¦a¦Ó¸H¦¨4¶ô.«á¨Ó¡AºÙ±o¨C¶ô¸H¤ùªº«¶q³£¬O¾ã½S¼Æ¡A¦Ó¥B¥i¥H¥Î³o4¶ô¨ÓºÙ±q1¦Ü40½S¤§¶¡ªº¥ô·N¾ã¼Æ½Sªº«ª«¡C
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²Ä03ÃD ¤û¹yªº¯ó¦a»P¥À¤û°ÝÃDNewton's Problem of the Fields and Cows
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a'ÀY¥À¤û±Nb'¶ô¦a¤Wªºªª¯ó¦bc'¤Ñ¤º¦Y§¹¤F¡F
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²{½Ð¨D¥X±qa¨ìc"9Ӽƶq¤§¶¡ªºÃö«Y¡H
²Ä04ÃD ¨©³§Jªº¤CÓ7ªº°ÝÃDBerwick's Problem of the Seven Sevens
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²Ä05ÃD ¬_§J°Òªº¤k¾Ç¥Í°ÝÃDKirkman's Schoolgirl Problem
¬Y±H±J¾Ç®Õ¦³¤Q¤¦W¤k¥Í¡A¦o̸g±`¨C¤Ñ¤T¤H¤@¦æ¦a´²¨B¡A°Ýn«ç¼Ë¦w±Æ¤~¯à¨Ï¨CÓ¤k¥Í¦P¨ä¥L¨CÓ¤k¥Í¦P¤@¦æ¤¤´²¨B¡A¨Ã«ê¦n¨C¶g¤@¦¸¡H
²Ä06ÃD §B§V§Q-¼Ú©ÔÃö©ó¸Ë¿ù«H«Êªº°ÝÃDThe Bernoulli-Euler Problem of the Misaddressed letters
¨DnÓ¤¸¯Àªº±Æ¦C¡An¨D¦b±Æ¦C¤¤¨S¦³¤@Ó¤¸¯À³B©ó¥¦À³·í¦û¦³ªº¦ì¸m¡C
²Ä07ÃD ¼Ú©ÔÃö©ó¦hÃä§Îªºå¤À°ÝÃDEuler's Problem of Polygon Division
¥i¥H¦³¦h¤ÖºØ¤èªk¥Î¹ï¨¤½u§â¤@ÓnÃä¦hÃä§Î¡]¥±¥Y¦hÃä§Î¡^å¤À¦¨¤T¨¤§Î¡H
²Ä08ÃD ¾|¥d´µªº°t°¸¤Ò°ü°ÝÃDLucas' Problem of the Married Couples
n¹ï¤Ò°ü³ò¶ê®à¦Ó§¤¡A¨ä®y¦¸¬O¨âÓ°ü¤H¤§¶¡§¤¤@Ó¨k¤H¡A¦Ó¨S¦³¤@Ó¨k¤H©M¦Û¤vªº©d¤l¨Ã§¤¡A°Ý¦³¦h¤ÖºØ§¤ªk¡H
²Ä09ÃD ¥d¨È©iªº¤G¶µ®i¶}¦¡Omar Khayyam's Binomial Expansion
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²Ä10ÃD ¬_¦èªº¥§¡È©w²zCauchy's Mean Theorem
¨DÃÒnÓ¥¿¼Æªº´X¦ó¥§¡È¤£¤j©ó³o¨Ç¼Æªººâ³N¥§¡È¡C
²Ä11ÃD §B§V§Q¾¤§©Mªº°ÝÃDBernoulli's Power Sum Problem
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²Ä12ÃD ¼Ú©Ô¼ÆThe Euler Number
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²Ä13ÃD ¤û¹y«ü¼Æ¯Å¼ÆNewton's Exponential Series
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²Ä14ÃD ³Á³Í¯Sº¸¹ï¼Æ¯Å¼ÆNicolaus Mercator's Logarithmic Series
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²Ä15ÃD ¤û¹y¥¿©¶¤Î§E©¶¯Å¼ÆNewton's Sine and Cosine Series
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²Ä16ÃD ¥¿³Î»P¥¿¤Á¯Å¼Æªº¦w¼w¦C±À¾ÉªkAndre's Derivation of the Secant and Tangent Series
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²Ä17ÃD ¸¯¦C®æ¨½ªº¤Ï¥¿¤Á¯Å¼ÆGregory's Arc Tangent Series
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²Ä18ÃD ¼w¥¬«Êªº°w°ÝÃDBuffon's Needle Problem
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²Ä19ÃD ¶O°¨-¼Ú©Ô¯À¼Æ©w²zThe Fermat-Euler Prime Number Theorem
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²Ä20ÃD ¶O°¨¤èµ{The Fermat Equation
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²Ä21ÃD ¶O°¨-°ª´µ¤£¥i¯à©Ê©w²zThe Fermat-Gauss Impossibility Theorem
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²Ä22ÃD ¤G¦¸¤¬¤Ï«ßThe Quadratic Reciprocity Law
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²Ä23ÃD °ª´µªº¥N¼Æ°ò¥»©w²zGauss' Fundamental Theorem of Algebra
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²Ä24ÃD ´µ¹ÏÂÓªº®ÚªºÓ¼Æ°ÝÃDSturm's Problem of the Number of Roots
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²Ä25ÃD ªü¨©º¸¤£¥i¯à©Ê©w²zAbel's Impossibility Theorem
°ª©ó¥|¦¸ªº¤èµ{¤@¯ë¤£¥i¯à¦³¥N¼Æ¸Ñªk¡C
²Ä26ÃD »®¦Ì¯S-ªL¼w°Ò¶W¶V©Ê©w²zThe Hermite-Lindemann Transcedence Theorem
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²Ä27ÃD ¼Ú©Ôª½½uEuler's Straight Line
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²Ä28ÃD ¶Oº¸¤Ú«¢¶êThe Feuerbach Circle
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²Ä29ÃD ¥d´µ¸¦®Ô°ÝÃDCastillon's Problem
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²Ä30ÃD °¨º¸ªk¸¦°ÝÃDMalfatti's Problem
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²Ä31ÃD »X¤é°ÝÃDMonge's Problem
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²Ä32ÃD ªüªi¬¥¥§´µ¬Û¤Á°ÝÃDThe Tangency Problem of Apollonius
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²Ä33ÃD °¨¯ÁY¥§¶ê³W°ÝÃDMacheroni's Compass Problem
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²Ä34ÃD ´µ©Z¯Çª½¤Ø°ÝÃDSteiner's Straight-edge Problem
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²Ä35ÃD ¼w¨½¦w¿¥ß¤è°ÝÃDThe Deliaii Cube-doubling Problem
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²Ä36ÃD ¤Tµ¥¤À¤@Ó¨¤Trisection of an Angle
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²Ä37ÃD ¥¿¤Q¤CÃä§ÎThe Regular Heptadecagon
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²Ä38ÃD ªü°ò¦Ì¼w£kȽT©wªkArchimedes' Determination of the Number Pi
³]¶êªº¥~¤Á©M¤º±µ¥¿2vnÃä§Îªº©Pªø¤À§O¬°av©Mbv¡A«K¨Ì¦¸±o¨ì¦hÃä§Î©Pªøªºªü°ò¦Ì¼w¼Æ¦C¡Ga0¡Ab0¡Aa1¡Ab1¡Aa2¡Ab2¡A¡K¨ä¤¤av+1¬Oav¡Bbvªº½Õ©M¤¤¶µ¡Abv+1¬Obv¡Bav+1ªºµ¥¤ñ¤¤¶µ¡C°²¦p¤wª¾ªì©l¨â¶µ¡A§Q¥Î³oÓ³W«h«K¯àpºâ¥X¼Æ¦Cªº©Ò¦³¶µ¡C³oÓ¤èªk¥s§@ªü°ò¦Ì¼wºtºâªk¡C
²Ä39ÃD ´I´µ©¶¤Á¥|Ãä§Î°ÝÃDFuss' Problem of the Chord-Tangent Quadrilateral
§ä¥X¥b®|»PÂù¤ß¥|Ãä§Îªº¥~±µ¶ê©M¤º¤Á¶ê³s¤ß½u¤§¶¡ªºÃö«Y¡C¡]ª`¡G¤@ÓÂù¤ß©Î©¶¤Á¥|Ãä§Îªº©w¸q¬O¬J¤º±µ©ó¤@Ó¶ê¦Ó¦P®É¤S¥~¤Á©ó¥t¤@Ӷꪺ¥|Ãä§Î¡^
²Ä40ÃD ´ú¶qªþÃDAnnex to a Survey
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²Ä41ÃD ªüº¸«¢´Ë¼u¤l°ÝÃDAlhazen's Billiard Problem
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²Ä42ÃD ¥Ñ¦@³m¥b®|§@¾ò¶êAn Ellipse from Conjugate Radii
¤wª¾¨âÓ¦@³m¥b®|ªº¤j¤p©M¦ì¸m¡A§@¾ò¶ê¡C
²Ä43ÃD ¦b¥¦æ¥|Ãä§Î¤º§@¾ò¶êAn Ellipse in a Parallelogram
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²Ä44ÃD ¥Ñ¥|±ø¤Á½u§@抛ª«½uA Parabola from Four Tangents
¤wª¾抛ª«½uªº¥|±ø¤Á½u¡A§@抛ª«½u¡C
²Ä45ÃD ¥Ñ¥|ÂI§@抛ª«½uA Parabola from Four Points
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²Ä46ÃD ¥Ñ¥|ÂI§@Âù¦±½uA Hyperbola from Four Points
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²Ä47ÃD S•¬I¥jµny¸ñÃDVan Schooten's Locus Problem
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²Ä48ÃD ¥d¤¦±Û½ü°ÝÃDCardan's Spur Wheel Problem
¤@Ó¶ê½LªuµÛ¥b®|¬°¨ä¨â¿ªº¥t¤@Ó¶ê½Lªº¤º½tºu°Ê®É¡A³oÓ¶ê½L¤W¼Ð©wªº¤@ÂI©Ò´y¥Xªºy¸ñ¬O¤°»ò¡H
²Ä49ÃD ¤û¹y¾ò¶ê°ÝÃDNewton's Ellipse Problem
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²Ä50ÃD ´^ÁɦC-¥¬¨½©ù¦IÂù¦±½u°ÝÃDThe Poncelet-Brianchon Hyperbola Problem
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²Ä51ÃD §@¬°¥]µ¸ªº抛ª«½uA Parabola as Envelope
±q¨¤ªº³»ÂI¡A¦b¨¤ªº¤@±øÃä¤W³sÄòn¦¸ºI¨ú¥ô·N½u¬qe¡A¦b¥t¤@±øÃä¤W³sÄòn¦¸ºI¨ú½u¬qf¡A¨Ã±N½u¬qªººÝÂIª`¥H¼Æ¦r¡A±q³»ÂI¶}©l¡A¤À§O¬°0¡A1¡A2¡A¡K¡An©Mn¡An¡Ð1¡A¡K¡A2¡A1¡A0¡C
¨DÃҨ㦳¬Û¦P¼Æ¦ìªºÂIªº³s½uªº¥]µ¸¬°¤@±ø抛ª«½u¡C
²Ä52ÃD ¬P§Î½uThe Astroid
ª½½u¤W¨âӼЩwªºÂIªuµÛ¨â±ø©T©wªº¤¬¬Û««ª½ªº¶b·Æ°Ê¡A¨D³o±øª½½uªº¥]µ¸¡C
²Ä53ÃD ´µ©Z¯Çªº¤TÂI¤ºÂ\½uSteiner's Three-pointed Hypocycloid
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²Ä54ÃD ¤@Ó¥|Ãä§Îªº³Ì±µªñ¶êªº¥~±µ¾ò¶êThe Most Nearly Circular Ellipse Circumscribing a Quadrilateral
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²Ä55ÃD ¶êÀ@¦±½uªº¦±²vThe Curvature of Conic Sections
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²Ä56ÃD ªü°ò¦Ì¼w¹ï抛ª«½u±¿nªº±ÀºâArchimedes' Squaring of a Parabola
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²Ä57ÃD ±ÀºâÂù¦±½uªº±¿nSquaring a Hyperbola
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²Ä58ÃD ¨D抛ª«½uªºªøRectification of a Parabola
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²Ä59ÃD ²Ã¨F®æ¦P½Õ©w²z¡]¦P½Õ¤T¨¤§Î©w²z¡^Desargues' Homology Theorem (Theorem of Homologous Triangles)
¦pªG¨âÓ¤T¨¤§Îªº¹ïÀ³³»ÂI³s½u³q¹L¤@ÂI¡A«h³o¨âÓ¤T¨¤§Îªº¹ïÀ³Ãä¥æÂI¦ì©ó¤@±øª½½u¤W¡C¤Ï¤§¡A¦pªG¨âÓ¤T¨¤§Îªº¹ïÀ³Ãä¥æÂI¦ì©ó¤@±øª½½u¤W¡A«h³o¨âÓ¤T¨¤§Îªº¹ïÀ³³»ÂI³s½u³q¹L¤@ÂI¡C
²Ä60ÃD ´µ©Z¯Çªº¤G«¤¸¯À§@¹ÏªkSteiner's Double Element Construction
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²Ä61ÃD ©¬´µ¥d¤»Ãä§Î©w²zPascal's Hexagon Theorem
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²Ä62ÃD ¥¬¨½©ù¦I¤»½u§Î©w²zBrianchon's Hexagram Theorem
¨DÃÒ¥~¤Á©ó¶êÀ@¦±½uªº¤»½u§Î¤¤¡A¤T±ø¹ï³»½u³q¹L¤@ÂI¡C
²Ä63ÃD ²Ã¨F®æ¹ï¦X©w²zDesargues' Involution Theorem
¤@±øª½½u»P¤@Ó§¹¥þ¥|ÂI§Î*ªº¤TÂù¹ïÃ䪺¥æÂI»P¥~±µ©ó¸Ó¥|ÂI§Îªº¶êÀ@¦±½uºc¦¨¤@Ó¹ï¦Xªº¥|ÓÂI°¸¡C¤@ÓÂI»P¤@Ó§¹¥þ¥|½u§Î*ªº¤TÂù¹ï³»ÂIªº³s½u©M±q¸ÓÂI¦V¤º¤Á©ó¸Ó¥|½u§Îªº¶êÀ@¦±½u©Ò¤Þªº¤Á½uºc¦¨¤@Ó¹ï¦Xªº¥|Ó®g½u°¸¡C
*¤@Ó§¹¥þ¥|ÂI§Î¡]¥|½u§Î¡^¹ê»Ú¤W§t¦³¥|ÂI¡]½u¡^1¡A2¡A3¡A4©M¥¦Ìªº¤»±ø³s½u¥æÂI23¡A14¡A31¡A24¡A12¡A34¡F¨ä¤¤23»P14¡B31»P24¡B12»P34ºÙ¬°¹ïÃä¡]¹ï³»ÂI¡^¡C
²Ä64ÃD ¥Ñ¤Ó¤¸¯À±o¨ìªº¶êÀ@¦±½uA Conic Section from Five Elements
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²Ä65ÃD ¤@±ø¶êÀ@¦±½u©M¤@±øª½½uA Conic Section and a Straight Line
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²Ä66ÃD ¤@±ø¶êÀ@¦±½u©M¤@©wÂIA Conic Section and a Point
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²Ä67ÃD ´µ©Z¯Çªº¥Î¥±¤À³ÎªÅ¶¡Steiner's Division of Space by Planes
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²Ä68ÃD ¼Ú©Ô¥|±Åé°ÝÃDEuler's Tetrahedron Problem
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²Ä69ÃD °¾±×ª½½u¤§¶¡ªº³Ìµu¶ZÂ÷The Shortest Distance Between Skew Lines
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²Ä70ÃD ¥|±Å骺¥~±µ²yThe Sphere Circumscribing a Tetrahedron
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²Ä71ÃD ¤ºØ¥¿«hÅéThe Five Regular Solids
±N¤@Ó²y±¤À¦¨¥þµ¥ªº²y±¥¿¦hÃä§Î¡C
²Ä72ÃD ¥¿¤è§Î§@¬°¥|Ãä§Îªº¤@Ó¬M¶HThe Square as an Image of a Quadrilateral
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²Ä73ÃD ªiº¸³Í-³\¥Ëº¸¯÷©w²zThe Pohlke-Schwartz Theorem
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²Ä74ÃD °ª´µ¶b´úªk°ò¥»©w²zGauss' Fundamental Theorem of Axonometry
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²Ä75ÃD §Æ©¬¬d´µ²y·¥¥±®g¼vHipparchus' Stereographic Projection
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²Ä76ÃD ³Á¥d¦«§ë¼vThe Mercator Projection
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²Ä77ÃD ¯è®ü±×¾p½u°ÝÃDThe Problem of the Loxodrome
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²Ä78ÃD ®ü¤W²î¦ì¸mªº½T©wDetermining the Position of a Ship at Sea
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²Ä79ÃD °ª´µÂù°ª«×°ÝÃDGauss' Two-Altitude Problem
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²Ä80ÃD °ª´µ¤T°ª«×°ÝÃDGauss' Three-Altitude Problem
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²Ä81ÃD ¨è¤R°Ç¤èµ{The Kepler Equation
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²Ä82ÃD ¬P¸¨Star Setting
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²Ä83ÃD ¤é´¾°ÝÃDThe Problem of the Sundial
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²Ä84ÃD ¤é¼v¦±½uThe Shadow Curve
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²Ä85ÃD ¤é¹©M¤ë¹Solar and Lunar Eclipses
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²Ä86ÃD ùÚ¬P¤Î·|¦X¹BÂà¶g´ÁSidereal and Synodic Revolution Periods
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²Ä87ÃD ¦æ¬Pªº¶¶¦V©M°f¦V¹B°ÊProgressive and Retrograde Motion of Planets
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²Ä88ÃD Äõ§B¯S¼z¬P°ÝÃDLambert's Comet Prolem
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²Ä89ÃD »P¼Ú©Ô¼Æ¦³Ãöªº´µ©Z¯Ç°ÝÃDSteiner's Problem Concerning the Euler Number
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²Ä90ÃD ªk®æ¤D¿ÕÃö©ó°ªªº°òÂIªº°ÝÃDFagnano's Altitude Base Point Problem
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²Ä91ÃD ¶O°¨¹ï¦«ùØ©î§Q´£¥Xªº°ÝÃDFermat's Problem for Torricelli
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²Ä92ÃD °f·ÅÜ´«¯è¦VTacking Under a Headwind
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²Ä93ÃD ¸Á±_¡]¹pªü¯Q©iº¸°ÝÃD¡^The Honeybee Cell (Problem by Reaumur)
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²Ä94ÃD ¹p©_¶ø²ö¶ð§V´µªº·¥¤jÈ°ÝÃDRegiomontanus' Maximum Problem
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²Ä95ÃD ª÷¬Pªº³Ì¤j«G«×The Maximum Brightness of Venus
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²Ä96ÃD ¦a²yy¹D¤ºªº¼z¬PA Comet Inside the Earth's Orbit
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²Ä97ÃD ³Ìµu±á©ü»X¼v°ÝÃDThe Problem of the Shortest Twilight
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²Ä98ÃD ´µ©Z¯Çªº¾ò¶ê°ÝÃDSteiner's Ellipse Problem
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²Ä99ÃD ´µ©Z¯Çªº¶ê°ÝÃDSteiner's Circle Problem
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²Ä100ÃD ´µ©Z¯Çªº²y°ÝÃDSteiner's Sphere Problem
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